Identify the mapping diagram that represents the relation and determine whether the relation is a function.

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

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Answer: THE ANSWER IS

Determine if the relation is a function.

The relation is a function.

Find the domain and range.

Domain:

{−3, −1, 5, 8}

Range:

{−6}

Graph.

{(−3,−6), (−1, −6), (5, −6), (8, −6)}

Determine if the relation is linear.

The relation is linear

Find the inverse.

( − 6 , − 3 ) , ( − 6 , − 1 ) , ( − 6 , 5 ) , ( − 6 , 8 )

Step-by-step explanation: IT'S NOT A OR D.. ig

1: Recall that a function from a set to a set is a relation that assigns to each element in the set exactly one element in the set . The set is the domain (or set of inputs) of the function and the set contains the range (or set of outputs).

The general characteristics of functions are:

A. Each element in A must be matched with an element in B.

B. Some elements in B may not be matched with any element in A.

C. Two or more elements in A may be matched with the same element in B.

D. An element in A (the domain) can not be matched with two different elements in B.

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Solving this problem we have:

1. The mapping diagram is represented in Figure 1. As you can see this is a function. Each element in A is matched with an element in B. All the elements in A are matched with the same element in B. So, this fulfills with the definition of function.

2. The mapping diagram is represented in Figure 2. This is not a function. Notice that an element in A (the domain) is matched with two different elements in B, that is, -8 is matched with -6 and 1.

2: #1) This is a function.

#2) This is not a function.

(The mapping diagrams are not present to match to these.)

Explanation:

A function is a relation in which each element of the domain is matched to no more than one element of the range; in other words, no x gets mapped to more than 1 y.

In #1, no x is mapped to more than 1 y, so it is a function. However, in #2, -8 is mapped to both -6 and to 1; this x is used more than once, so this is not a function.

3: what is the primary responsibility of the legislative branch

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it represents new mexico in foreign affairs

4: Answer:

Option D is correct.

The relation {(-8, -6) (-5, 2) (-8, 1) (7, 3)} is not a function.

Step-by-step explanation:

Given the relation: {(-8, -6) (-5, 2) (-8, 1) (7, 3)}

Domain is the set of all possible inputs of a relation i.e { -8, -5 , -8 , 7}

Range is the set of output values of a function i.e, {-6, 2 , 1 , 3}

The mapping as shown below in the figure:

A function is a relation in which every element of the domain is matched to not more than one element of the range.